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Finding the Fourth Proportional to 34,322, 47,365.15 and 19,214.28

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Solution

The fourth proportional to 34,322, 47,365.15 and 19,214.28 is: 26,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,322 : 47,365.15 = 19,214.28 : x
  2. Step 2: Convert to fraction form
    34,322/47,365.15 = 19,214.28/x
  3. Step 3: Cross multiply
    34,322x = 47,365.15 × 19,214.28
  4. Step 4: Simplify right side
    34,322x = 910,087,254.34
  5. Step 5: Solve for x
    x = 910,087,254.34/34,322
  6. Step 6: Final answer
    x = 26,516.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.